1L 6s
| ↑ 1L 5s | 2L 5s ↗ | |
| 1L 6s | 2L 6s → | |
| ↓ 1L 7s | 2L 7s ↘ |
┌╥┬┬┬┬┬┬┐ │║│││││││ │││││││││ └┴┴┴┴┴┴┴┘
Scale structure
ssssssL
Generator size
TAMNAMS information
Related MOS scales
Equal tunings
1L 6s, named onyx in TAMNAMS, is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 1 large step and 6 small steps, repeating every octave. Generators that produce this scale range from 1028.6 ¢ to 1200 ¢, or from 0 ¢ to 171.4 ¢. There is one notable low-harmonic-entropy scale with this MOS pattern: porcupine, in which two generators make a 6/5 and three make a 4/3.
Other scales include very improper (incomplete) versions of negri, 12edo, etc.
Modes
Mode names are from Porcupine temperament modal harmony, proposed by William Lynch. Descriptive mode names reference the page's original descriptions of the modes.
| Mode | UDP | Mode name | Descriptive mode name |
|---|---|---|---|
| Lssssss | 6|0 | chinchillian | Bright major |
| sLsssss | 5|1 | badgerian | Dark major |
| ssLssss | 4|2 | zebrian | Bright minor |
| sssLsss | 3|3 | dingoian | Symmetric minor |
| ssssLss | 2|4 | gazellian | Bright diminished |
| sssssLs | 1|5 | lemurian | Dark diminished |
| ssssssL | 0|6 | pandian | Magical seventh |
Scale tree
Generator ranges:
- Chroma-positive generator: 1028.5714 cents (6\7) to 1200 cents (1\1)
- Chroma-negative generator: 0 cents (0\1) to 171.4286 cents (1\7)
| Generator (Chroma-positive) |
Cents | L | s | L/s | Comments | ||||||
|---|---|---|---|---|---|---|---|---|---|---|---|
| Chroma-positive | Chroma-negative | ||||||||||
| 6\7 | 1028.571 | 171.429 | 1 | 1 | 1.000 | ||||||
| 31\36 | 1033.333 | 166.667 | 6 | 5 | 1.200 | ||||||
| 25\29 | 1034.483 | 165.517 | 5 | 4 | 1.250 | ||||||
| 44\51 | 1035.294 | 164.706 | 9 | 7 | 1.286 | ||||||
| 19\22 | 1036.364 | 163.636 | 4 | 3 | 1.333 | ||||||
| 51\59 | 1037.288 | 162.712 | 11 | 8 | 1.375 | Porcupine/porcupinefish is around here | |||||
| 32\37 | 1037.838 | 162.162 | 7 | 5 | 1.400 | ||||||
| 45\52 | 1038.462 | 161.538 | 10 | 7 | 1.429 | ||||||
| 13\15 | 1040.000 | 160.000 | 3 | 2 | 1.500 | ||||||
| 46\53 | 1041.509 | 158.491 | 11 | 7 | 1.571 | Hemikleismic | |||||
| 33\38 | 1042.105 | 157.895 | 8 | 5 | 1.600 | ||||||
| 53\61 | 1042.623 | 157.377 | 13 | 8 | 1.625 | Wilson Golden 1 (1042.4790¢) | |||||
| 20\23 | 1043.478 | 156.522 | 5 | 3 | 1.667 | ||||||
| 47\54 | 1044.444 | 155.556 | 12 | 7 | 1.714 | ||||||
| 27\31 | 1045.161 | 154.839 | 7 | 4 | 1.750 | Nusecond | |||||
| 34\39 | 1046.154 | 153.846 | 9 | 5 | 1.800 | ||||||
| 7\8 | 1050.000 | 150.000 | 2 | 1 | 2.000 | Basic onyx (Generators smaller than this are proper) | |||||
| 29\33 | 1054.545 | 145.455 | 9 | 4 | 2.250 | ||||||
| 22\25 | 1056.000 | 144.000 | 7 | 3 | 2.333 | ||||||
| 37\42 | 1057.143 | 142.857 | 12 | 5 | 2.400 | ||||||
| 15\17 | 1058.824 | 141.176 | 5 | 2 | 2.500 | Progression (incomplete) | |||||
| 38\43 | 1060.465 | 139.535 | 13 | 5 | 2.600 | Golden jerome (1060.7571¢) | |||||
| 23\26 | 1061.538 | 138.462 | 8 | 3 | 2.667 | ||||||
| 31\35 | 1062.857 | 137.143 | 11 | 4 | 2.750 | ||||||
| 8\9 | 1066.667 | 133.333 | 3 | 1 | 3.000 | ||||||
| 25\28 | 1071.429 | 128.571 | 10 | 3 | 3.333 | ||||||
| 17\19 | 1073.684 | 126.316 | 7 | 2 | 3.500 | Negri (incomplete) | |||||
| 26\29 | 1075.862 | 124.138 | 11 | 3 | 3.667 | ||||||
| 9\10 | 1080.000 | 120.000 | 4 | 1 | 4.000 | ||||||
| 19\21 | 1085.714 | 114.286 | 9 | 2 | 4.500 | Miracle (incomplete) | |||||
| 10\11 | 1090.909 | 109.091 | 5 | 1 | 5.000 | ||||||
| 11\12 | 1100.000 | 100.000 | 6 | 1 | 6.000 | Passion, ripple (incomplete) | |||||
| 1\1 | 1200.000 | 0.000 | 1 | 0 | → inf | ||||||